We're dividing 159638 by 11 
The aim is to understand the frequency of 11 in 159638.

Going ahead to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 11

Step 2:
11 can be fit into 15 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 11 from 15 to get 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 11

Step 3:
11 goes into 49 4 times with a remainder of 5.
The next digit of our result is 4. 
Result so far: 14.0
Subtract 44 from 49 to get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 11

Going ahead to step 4:
When dividing 56 by 11, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 145.0
If we take 55 away from 56, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 11

On to step 5:
If we divide 13 by 11, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1451.0
If we subtract 11 from 13, we get 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 11

Let's proceed to step 6:
11 can be fit into 28 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 14512.0
Subtracting 22 from 28 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
When dividing 60 by 11, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 14512.5
Subtract 55 from 60 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 14512.54
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 9:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 14512.545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 14512.5454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 11:
When dividing 60 by 11, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 14512.54545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 11, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 14512.545454
Subtract 44 from 50 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 13:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 14512.5454545
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 14:
When dividing 50 by 11, we get 4 with a remainder of 6.
The next digit of our result is 4. 
Result so far: 14512.54545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 14512.54545454 with a remaining 6e-09.